** About the book** Foundations of Functional Analysis provides fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. Divided into three parts it covers:
¨ Basic facts of linear algebra and real analysis
¨ Normed spaces, contraction mappings, linear operators between normed spaces and fundamental results on these topics.
¨ Hilbert spaces and the representation of continuous linear function with applications.
In this self-contained book, all the concepts, results and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises. |